6 is what percent of 661.76 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 661.76 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 661.76, so we can write it down as 100%=661.76.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=661.76
2) x%=6
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=661.76/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 661.76

100%/x%=661.76/6
(100/x)*x=(661.76/6)*x       - we multiply both sides of the equation by x
100=110.29333333333*x       - we divide both sides of the equation by (110.29333333333) to get x
100/110.29333333333=x
0.90667311411992=x
x=0.90667311411992

now we have:
6 is 0.90667311411992% of 661.76